Branin.gms
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* NLP written by GAMS Convert at 11/11/08 09:34:34
*
* Equation counts
* Total E G L N X C
* 1 1 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 3 3 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 3 1 2 0
*
* Solve m using NLP minimizing objvar;
*
Scalar PI / 3.14159265359 / ;
Variables x1,x2,objvar;
Positive Variables x2;
Equations e1;
e1.. - (sqr((-6) + 1.59154943091885*x1 - 0.129184509143964*x1*x1 + x2) +
9.60211264227029*cos(x1)) + objvar =E= 10;
* set non default bounds
x1.lo = -5; x1.up = 10;
x2.up = 15;
* set non default levels
* set non default marginals
$if not set startsol $goto cont
$goto %startsol%
* 3 global minima
$label sol1
x1.l = -PI ;
x2.l = 12.275 ;
objvar.l = 5/(4*PI);
$goto cont
$label sol2
x1.l = PI ;
x2.l = 2.275 ;
objvar.l = 5/(4*PI);
$goto cont
$label sol3
x1.l = 3*PI ;
x2.l = 2.475 ;
objvar.l = 5/(4*PI);
$goto cont
$label cont
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
Solve m using NLP minimizing objvar;
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